Three containers A, B and C have milk and water solutions in them in the ratio 3 : 4 : 5. The ratio of milk to water in the respective containers are 2 : 1, 5 : 3 and 7 : 3. If the contents of container A are mixed with those of container B, and then half of the contents of the new mixture thus formed is mixed with the contents of container C, then which of the following gives the ratio of milk to water in the final mixture?

Take initial volumes of 12 litres for A, 16 litres for B, and 20 litres for C to maintain the 3:4:5 ratio, which means A contains 8 litres of milk and 4 litres of water, B contains 10 litres of milk and 6 litres of water, and C contains 14 litres of milk and 6 litres of water. Mixing A and B gives 28 litres containing 18 litres of milk and 10 litres of water; taking half of this gives 14 litres with 9 litres of milk and 5 litres of water. Adding this to container C results in 23 litres of milk and 11 litres of water, making the final ratio 23 : 11.

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